On the monodromies and the limit mixed Hodge structures of families of algebraic varieties

Takahiro Saito; Kiyoshi Takeuchi

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arXiv · 1603.00702

On the monodromies and the limit mixed Hodge structures of families of algebraic varieties

Takahiro Saito·Kiyoshi Takeuchi

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Abstract

We study the monodromies and the limit mixed Hodge structures of families of complete intersection varieties over a punctured disk in the complex plane. For this purpose, we express their motivic nearby fibers in terms of the geometric data of some Newton polyhedra. In particular, the limit mixed Hodge numbers and some part of the Jordan normal forms of the monodromies of such a family will be described very explicitly.

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Takahiro Saito, Kiyoshi Takeuchi. 2016-03-02. On the monodromies and the limit mixed Hodge structures of families of algebraic varieties. https://arxiv.org/abs/1603.00702

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